What is the Greatest Common Factor of 38376 and 38394?

Greatest common factor (GCF) of 38376 and 38394 is 18.

GCF(38376,38394) = 18

We will now calculate the prime factors of 38376 and 38394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38376 and 38394.

How to find the GCF of 38376 and 38394?

We will first find the prime factorization of 38376 and 38394. After we will calculate the factors of 38376 and 38394 and find the biggest common factor number .

Step-1: Prime Factorization of 38376

Prime factors of 38376 are 2, 3, 13, 41. Prime factorization of 38376 in exponential form is:

38376 = 2³ × 3² × 13¹ × 41¹

Step-2: Prime Factorization of 38394

Prime factors of 38394 are 2, 3, 79. Prime factorization of 38394 in exponential form is:

38394 = 2¹ × 3⁵ × 79¹

Step-3: Factors of 38376

List of positive integer factors of 38376 that divides 38376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 41, 52, 72, 78, 82, 104, 117, 123, 156, 164, 234, 246, 312, 328, 369, 468, 492, 533, 738, 936, 984, 1066, 1476, 1599, 2132, 2952, 3198, 4264, 4797, 6396, 9594, 12792, 19188

Step-4: Factors of 38394

List of positive integer factors of 38394 that divides 38376 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 79, 81, 158, 162, 237, 243, 474, 486, 711, 1422, 2133, 4266, 6399, 12798, 19197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38376 and 38394. The biggest common factor number is the GCF number.
So the greatest common factor 38376 and 38394 is 18.

Also check out the Least Common Multiple of 38376 and 38394